Geodesic
The Associated Lie Algebra of a Right-Angled Coxeter Group
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 61-70.

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We study the lower central series of a right-angled Coxeter group $\mathrm {RC}_\mathcal K$ and the associated graded Lie algebra $L(\mathrm {RC}_\mathcal K)$. The latter is related to the graph Lie algebra $L_\mathcal K$. We give an explicit combinatorial description of the first three consecutive factors of the lower central series of the group $\mathrm {RC}_\mathcal K$. 
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Ya. A. Veryovkin. The Associated Lie Algebra of a Right-Angled Coxeter Group. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 61-70. http://geodesic.mathdoc.fr/item/TM_2019_305_a3/

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